Dynamical study of a novel 4D hyperchaotic system: An integer and fractional order analysis

K Iskakova, MM Alam, S Ahmad, S Saifullah… - … and Computers in …, 2023 - Elsevier
In this article, a new nonlinear four-dimensional hyperchaotic model is presented. The
dynamical aspects of the complex system are analyzed covering equilibrium points, linear …

A study on the maize streak virus epidemic model by using optimized linearization-based predictor-corrector method in Caputo sense

P Kumar, VS Erturk, M Vellappandi, H Trinh… - Chaos, Solitons & …, 2022 - Elsevier
In this article, we study the dynamics of a Maize streak virus (MSV) epidemic model by using
the Caputo fractional derivative. Firstly, we define the dynamics of the given fractional-order …

Mathematical analysis of a coronavirus model with Caputo, Caputo–Fabrizio–Caputo fractional and Atangana–Baleanu–Caputo differential operators

I ul Haq, N Ali, H Ahmad, R Sabra… - International Journal …, 2025 - World Scientific
This research aims to use fractional operators to analyze a fractional-order model of a
coronavirus disease of 2019 (COVID-19). We use some basic results and definitions from …

Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias

AB Makhlouf, ES El-Hady, H Arfaoui… - Boundary Value …, 2023 - Springer
In this paper, we investigate the existence and uniqueness of fractional differential equations
(FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam–Hyers–Rassias …

Stability results of some fractional neutral integrodifferential equations with delay

A Ben Makhlouf, E El-hady… - Journal of Function …, 2022 - Wiley Online Library
Differential equations with fractional derivative are being extensively used in the modelling
of the transmission of many infective diseases like HIV, Ebola, and COVID‐19. Analytical …

[HTML][HTML] Sequential Caputo–Hadamard fractional differential equations with boundary conditions in Banach spaces

R Arul, P Karthikeyan, K Karthikeyan, Y Alruwaily… - Fractal and …, 2022 - mdpi.com
We present the existence of solutions for sequential Caputo–Hadamard fractional differential
equations (SC-HFDE) with fractional boundary conditions (FBCs). Known fixed-point …

On nonlinear ψ-Caputo fractional integro differential equations involving non-instantaneous conditions

R Arul, P Karthikeyan, K Karthikeyan, P Geetha… - Symmetry, 2022 - mdpi.com
We propose a solution to the symmetric nonlinear Ψ-Caputo fractional integro differential
equations involving non-instantaneous impulsive boundary conditions. We investigate the …

On ψ-Hilfer fractional integro-differential equations with non-instantaneous impulsive conditions

R Arul, P Karthikeyan, K Karthikeyan, P Geetha… - Fractal and …, 2022 - mdpi.com
We establish sufficient conditions for the existence of solutions of an integral boundary value
problem for a Ψ-Hilfer fractional integro-differential equations with non-instantaneous …

Laplace transform method for a coupled system of (pq)-Caputo fractional differential equations

A Baihi, A Kajouni, K Hilal, H Lmou - Journal of Applied Mathematics and …, 2025 - Springer
This research uses the Laplace transform method to analyze a coupled system of (p, q)-
Caputo fractional differential equations, employing the (p, q)-generalized Caputo derivative …

EXISTENCE OF SOLUTIONS AND ULAM STABILITY OF HILFER-HADAMARD SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT …

J Sompong, E Thailert, SK Ntouyas… - Journal of Applied …, 2025 - jaac-online.com
In this paper, we study the existence and uniqueness of solutions for the boundary value
problem of Hilfer-Hadamard sequential fractional differential equations via fixed point …